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Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of 1, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?

Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of 1, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of I, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment? There are should be about bacteria of the first species, about bacteria of the second species, and about (Round to the nearest integer as needed.) bacteria of the third species.
Transcribed Image Text:Three species of bacteria are fed three foods, I, II, and III. A bacterium of the first species consumes 1.2 units each of food I and II, and 2.5 units of food III each day. A bacterium of the second species consumes 1.1 units of food I, 2.3 units of food II, and 3.6 units of food III each day. A bacterium of the third species consumes 8.4 units of I, 2.7 units of II, and 5.3 units of III each day. If 16,500 units of food I, 27,000 units of food II, and 45,000 units of food III are supplied each day, how many of each species can be maintained in this environment? There are should be about bacteria of the first species, about bacteria of the second species, and about (Round to the nearest integer as needed.) bacteria of the third species.
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